Match the vector field $\vec{F}(x, y)=x \vec{i}+y \vec{j}$ with the descriptions (a)-(d).
A)A swirling in a clockwise direction.
B)An attractive force field pointing toward the origin.
C)A repulsive force field pointing away from the origin.
D)A swirling in a counter-clockwise direction.

Question

Quizplus · Accepted Answer

The vector field $\vec{F}(x, y) = x \vec{i} + y \vec{j}$ represents a field where vectors point away from the origin, increasing in magnitude as they move further away, indicating a repulsive force field.

Match the Vector Field F⃗(x,y)=xi⃗+yj⃗\vec{F}(x, y)=x \vec{i}+y \vec{j}F(x,y)=xi+yj​ With the Descriptions (A)-(D)

Match the Vector Field $\vec{F}(x, y)=x \vec{i}+y \vec{j}$ With the Descriptions (A)-(D)